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arXiv · 2610.11795

Almost $L^\infty$-stability of the Ritz projection for the integral fractional Laplacian with $0<s\leq \tfrac12$

Jia Li·Shuonan Wu
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Abstract

For $0<s\leq 1/2$ and $d\geq 1$, the $\widetilde H^s$-projection onto piecewise linear finite element spaces on quasi-uniform meshes of a bounded Lipschitz domain in $\mathbb{R}^d$ with a uniform exterior ball condition is almost stable in the maximum norm. The mesh domain need not coincide with the original domain.

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Jia Li, Shuonan Wu. 2026-10-08. Almost $L^\infty$-stability of the Ritz projection for the integral fractional Laplacian with $0<s\leq \tfrac12$. https://arxiv.org/abs/2610.11795

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